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Azumaya Extensions and Galois Correspondence

Algebra Colloquium, 2000
For \(H\) a finite-dimensional Hopf algebra over a field \(k\), the author studies \(H^*\)-Galois Azumaya extensions \(A\) and obtains a Galois correspondence generalizing work of \textit{R. Alfaro} and \textit{G. Szeto} [in Rings, extensions and cohomology, Lect. Notes Pure Appl. Math. 159, 1-7 (1994; Zbl 0812.16038)] for group algebras.
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